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313670028 = 223731163739
BaseRepresentation
bin10010101100100…
…011100110001100
3210212020002101110
4102230203212030
51120244420103
651043012020
710526102610
oct2254434614
9725202343
10313670028
11151070a31
128906a010
134cca5c89
142d931340
151c80e403
hex12b2398c

313670028 has 96 divisors (see below), whose sum is σ = 869908480. Its totient is φ = 86080320.

The previous prime is 313670023. The next prime is 313670047. The reversal of 313670028 is 820076313.

It is a junction number, because it is equal to n+sod(n) for n = 313669977 and 313670004.

It is not an unprimeable number, because it can be changed into a prime (313670023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424083 + ... + 424821.

Almost surely, 2313670028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313670028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434954240).

313670028 is an abundant number, since it is smaller than the sum of its proper divisors (556238452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313670028 is a wasteful number, since it uses less digits than its factorization.

313670028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 313670028 is about 17710.7320006825. The cubic root of 313670028 is about 679.4502679262.

The spelling of 313670028 in words is "three hundred thirteen million, six hundred seventy thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 163 186 217 326 372 434 489 651 652 739 868 978 1141 1302 1478 1956 2217 2282 2604 2956 3423 4434 4564 5053 5173 6846 8868 10106 10346 13692 15159 15519 20212 20692 22909 30318 31038 35371 45818 60636 62076 68727 70742 91636 106113 120457 137454 141484 160363 212226 240914 274908 320726 361371 424452 481089 481828 641452 722742 843199 962178 1445484 1686398 1924356 2529597 3372796 3734167 5059194 7468334 10118388 11202501 14936668 22405002 26139169 44810004 52278338 78417507 104556676 156835014 313670028